Protein coding regions are commonly diffused with non-coding regions due to 1/f
background noise in such a way that a viable discernment between the two regions …

A novel clustering method is proposed to classify genes and genomes. For a given DNA
sequence, a binary indicator sequence of each nucleotide is constructed, and Discrete …

Motivation: DNA sequences can be represented by sequences of four symbols, but it is often
useful to convert the symbols into real or complex numbers for further analysis. Several …

This paper addresses the DNA code analysis in the perspective of dynamics and fractional
calculus. Several mathematical tools are selected to establish a quantitative method without …

This study addresses the deoxyribonucleic acid (DNA) and proposes a procedure based on
the association of statistics, information theory, signal processing, Fourier analysis and …

It is known that the protein-coding regions of DNA are usually characterized by a three-base
periodicity. In this paper, we exploit this property, studying a DNA model based on three …

This paper presents an algorithm to detect exact and inexact palindromes of a given size in
DNA sequences by applying signal processing techniques. The algorithm uses modified …

Symbolic sequences generated by coupled map lattices (CMLs) can be used to model the
chaotic-like structure of genomic sequences. In this study it is shown that diffusively coupled …

The two-dimensional density correlation matrix is constructed for symbolic sequences using
contiguous segments of arbitrary size. The multifractal spectrum obtained from this matrix …

To explore the three-base periodicity often found in protein-coding DNA regions, we
introduce a DNA model based on three deterministic states, where each state implements a …